Suppose Jim travels 2 radians per minute as he rotates on a Ferris wheel. The Fe

Question

Suppose Jim travels 2 radians per minute as he rotates on a Ferris wheel. The Ferris Wheel has a radius of 35 feet.

As Jim travels for t minutes on the Ferris wheel, how many radians ( ) does Jim sweep out?

_______radians

Define a function v that defines Jim's vertical distance above the horizontal diameter of the Ferris wheel (in feet) in terms of the number of minutes elapsed, t , since Jim started to rotate counter-clockwise from the 3 o'clock position.

Define a function h that defines Jim's horizontal distance to the right of the vertical diameter of the Ferris wheel (in feet) in terms of the number of minutes elapsed, t , since Jim started to rotate counter-clockwise from the 3 o'clock position.

How long does it take Jim to complete one revolution on the Ferris Wheel?

______minutes

Suppose Jim travels 2 radians per minute as he rotates ora Ferris wheel, The Ferris wheel has a radius of 35 feet. a. As Jim travels for t minutes on the Ferris wheel, how many radians () does Jim sweep out? radians b. Define a function e that defines Jim's vertical distance above the horizontal diameter of the Ferris wheel in feet) in terms of the number of minutes elapsed, t, since Jim started to rotate counter-clockwise from the 3 o'clock position. Preview c. Define a function h that defines Jim's horizontal distance to the right of the vertical diameter of the Ferris wheel (in feet) in terms of the number of minutes elapsed, t, since Jam started to rotate counter-clockwise from the 3 o'clock position. Preview d. How long does it take Jim to complete one revolution on the Feris Wheel? minutes Preview

Explanation / Answer

a)

jim sweeps out 2t radians in t minutes

= 2t radians

b)

radius = 35 feet

vertical distance above horizontal diameter , v = 35 sin(2t) feet

c)

horizontal distance to the right of vertical diameter , h = 35 cos(2t)   feet

d)

angle covered one revolution = 2 radians

speed of rotation = 2 radians per minute

time taken for one revolution = 2/2

time taken for one revolution = minutes

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